دورية أكاديمية
On the Π-operator in Clifford analysis
| العنوان: | On the Π-operator in Clifford analysis |
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| المؤلفون: | Blaya, Ricardo Abreu, Reyes, Juan Bory, Adán, Alí Guzmán, Kähler, Uwe |
| بيانات النشر: | Elsevier |
| سنة النشر: | 2017 |
| المجموعة: | Repositório Institucional da Universidade de Aveiro (RIA) |
| مصطلحات موضوعية: | Clifford analysis, Teodorescu transform, Π-operator, Integral representations |
| الوصف: | In this paper we prove that a generalization of complex Π-operator in Clifford analysis, obtained by the use of two orthogonal bases of a Euclidean space, possesses several mapping and invertibility properties, as studied before for quaternion-valued functions as well as in the standard Clifford analysis setting. We improve and generalize most of those previous results in this direction and additionally other consequent results are presented. In particular, the expression of the jump of the generalized Π-operator across the boundary of the domain is obtained as well as an estimate for the norm of the Π-operator is given. At the end an application of the generalized Π-operator to the solution of Beltrami equations is studied where we give conditions for a solution to realize a local and global homeomorphism. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 0022-247X |
| العلاقة: | UID/MAT/ 0416/2013; http://hdl.handle.net/10773/15004Test |
| DOI: | 10.1016/j.jmaa.2015.09.038 |
| الإتاحة: | https://doi.org/10.1016/j.jmaa.2015.09.038Test http://hdl.handle.net/10773/15004Test |
| حقوق: | openAccess |
| رقم الانضمام: | edsbas.4222F148 |
| قاعدة البيانات: | BASE |
Full Text Finder | تدمد: | 0022247X |
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| DOI: | 10.1016/j.jmaa.2015.09.038 |